In the figure below, the battery has potential difference V = 9.0 V, C2 = 3.0

You are a junior space cadet on an interstellar space station. Your job is to launch a long distance spacecraft. The mass of the spacecraft without any fuel is 1217 kg. This mass is often called dry mass. The rocket engine of the craft can exhaust hot gas at a speed of 2.26 km/s relative to the space craft. How much rocket propellant does the craft need, if you want the craft to reach a final speed of 5.51 km/s relative to the station? In interstellar space the gravitational pull of the stars is negligible.

A 60 kg soccer player jumps vertically upwards and heads the 0.45 kg ball as it is descending vertically with a speed of 27 m/s. If the player was moving upward with a speed of 4.0 m/s just before impact, what will be the speed of the ball immediately after the collision if the ball rebounds vertically upwards and the collision is elastic?
______m/s

If the ball is in contact with the player's head for 20 ms, what is the average acceleration of the ball? (Note that the force of gravity may be ignored during the brief collision time.)
________ m/s²

A 6.10 m length of 2.4 mm -diameter wire carries a 770 mA current when 22.0 mV is applied to its ends. The drift velocity is 2.0×10⁻⁵ m/s .

A. Determine the resistance R of the wire.

Express your answer to three significant figures and include the appropriate units.

B. Determine the resistivity ρ.

Express your answer to two significant figures and include the appropriate units.

C.Determine the current density j.

Express your answer to two significant figures and include the appropriate units.

D. Determine the electric field inside the wire.

Express your answer to two significant figures and include the appropriate units

E. Determine the number n of free electrons per unit volume.

Express your answer using two significant figures.

A particle with a charge of −2.80×10−8 C is moving with an instantaneous velocity of magnitude 42.5 km/s in the xy -plane at an angle of 52.0 o counterclockwise from the +x axis.

Part A What is the direction of the force exerted on this particle by a magnetic field with magnitude 2.00 T in the -x direction?

Part B What is the magnitude of the force exerted on this particle by a magnetic field with magnitude 2.00 T in the -x direction?

Part C What is the direction of the force exerted on this particle by a magnetic field with magnitude 2.00 T in the +z direction? Please, enter your answer as a counterclockwise angle from the +y direction to the direction of the force.

Part D What is the magnitude of the force exerted on this particle by a magnetic field with magnitude 2.00 T in the +z direction?

Divers get “the bends” when bubbles of N2 gas form in their bloodstream if they rise too rapidly from a deep dive. Calculate the solubility (mol L−1) of N2 in water (this is roughly equal to the solubility in blood serum) at sea level and at a depth of 300 ft below the surface of the ocean. It is given that: the density of seawater is 1.01 gcm−3, the density of mercury is 13.6 gcm−3 and the Henry’s constant of N2 is 86 × 103 atm.

Answer is 6.4 × 10−3molL−1 but idk how they got it

Write a creative story to tell about the journey of a jogger from one location in a park to another location. Make up some events and experiences that the jogger goes through on his/her journey. Tell what happens to the jogger throughout the journey (e.g., being chased by a dog or having to slow down for a parade, etc.) As you tell the story, use the terms speed, velocity and acceleration and explain how and why these values change for the jogger as he/she goes through different parts of his/her trip. Your story can be creative and funny or serious as long as you use the terms speed, velocity and acceleration. Make sure that the story conveys the meanings of these terms and the differences between them.

Point B is at < 8.9, 4.0, 14.4 > ft. A force vector of < 15, 37, 21 > pounds is applied at point B.

A) Determine the x-component of the torque of the force about the origin.
(include units with answer)

B) Determine the magnitude of the torque about the origin.
(include units with answer)

C) Point C is at <-3.7, -9.0, 8.1>ft. Determine the x-component of the torque of the force about the point C.
(include units with answer)

D) Determine the magnitude of the torque about the point C.
(include units with answer)

A 1.85 kg block slides with a speed of 0.955 m/s on a frictionless horizontal surface until it encounters a spring with a force constant of 980 N/m . The block comes to rest after compressing the spring 4.15 cm.

A.Find the spring potential energy, U, the kinetic energy of the block, K, and the total mechanical energy of the system, E, for compressions of 0 cm.

B.Find the spring potential energy, U, the kinetic energy of the block, K, and the total mechanical energy of the system, E, for compressions of 1.00 cm.

C.Find the spring potential energy, U, the kinetic energy of the block, K, and the total mechanical energy of the system, E, for compressions of 2.00 cm.

D.Find the spring potential energy, U, the kinetic energy of the block, K, and the total mechanical energy of the system, E, for compressions of 3.00 cm.

E.Find the spring potential energy, U, the kinetic energy of the block, K, and the total mechanical energy of the system, E, for compressions of 4.00 cm.

A person is pulling a 40 kg block of ice across an icy surface at a 25 degree angle. If the person is pulling with a force of 42 N, what is the magnitude of the acceleration of the block of ice? you may ignore drag, but not friction. Us=.1 and Uk=.03

I got this wrong on the homework and my teacher said that the normal forces does not equal mg here and that the tension is "pulling up"

A merry-go-round with a moment of inertia of 750 kgm^2 and a radius of 2.55 m is rotating with an angular velocity of 9.42 rad/s clockwise (as viewed from above.) A child, whose weight is 334 N, runs at 2.76 m/s tangent to the rim of the merry-go-round and jumps onto it in the direction opposite of its sense of rotation. With what angular speed does the merry-go-round rotate after the child jumps onto its edge?

I'm pretty sure the answer is going to be negative.

Explain, in thermodynamic terms what happens and how it is achieved to ensure that an engine can operate at high altitude for commercial aircraft since the highier they go the less air is present for the engines to work with. What changes, differences in design for engines, are required for aircraft that operate at higher altitudes?

A woman of mass m = 53.4 kg sits on the left end of a seesaw—a plank of length L = 4.25 m—pivoted in the middle as shown in the figure.

(a) First compute the torques on the seesaw about an axis that passes through the pivot point. Where should a man of mass M = 67.7 kg sit if the system (seesaw plus man and woman) is to be balanced?

(b) Find the normal force exerted by the pivot if the plank has a mass of m_pl = 12.8 kg.

(c) Repeat part (a), but this time compute the torques about an axis through the left end of the plank (m).

EXERCISE

Suppose a 32.0 kg child sits 1.87 m to the left of center on the same seesaw as the problem you just solved. A second child sits at the end on the opposite side, and the system is balanced.

(a) Find the mass of the second child (kg).
m_{child 2} =

(b) Find the normal force acting at the pivot point (N).
F_n =   

On average, both arms and hands together account for 13% of a person's mass, while the head is 7.0% and the trunk and legs account for 80%. We can model a spinning skater with her arms outstretched as a vertical cylinder (head, trunk, and legs) with two solid uniform rods (arms and hands) extended horizontally.

Suppose a 62.0 kg skater is 1.60 m tall, has arms that are each 64.0 cm long (including the hands), and a trunk that can be modeled as being 32.0 cm in diameter. If the skater is initially spinning at 80.0 rpm with her arms outstretched, what will her angular velocity ω2 be (in rpm) after she pulls in her arms and they are at her sides parallel to her trunk? Assume that friction between the skater and the ice is negligible.

My answer was 293.93. Please show your work so I may trackback where I went wrong thank you