If an object is projected at a given angle and speed, how long does it take to reach its maximum height?

Please explain in simplest terms and give an example using units given.

A satellite in a circular orbit around the earth with a radius 1.011 times the mean radius of the earth is hit by an incoming meteorite. A large fragment (m = 81.0 kg) is ejected in the backwards direction so that it is stationary with respect to the earth and falls directly to the ground. Its speed just before it hits the ground is 361.0 m/s. Find the total work done by gravity on the satellite fragment. RE 6.37·103 km; Mass of the earth= ME 5.98·1024 kg.

An asteroid is discovered to have a tiny moon that orbits it in a circular path at a distance of 151 km and with a period of 43.0 h. The asteroid is roughly spherical (unusual for such a small body) with a radius of 15.9 km.
a) Find the acceleration of gravity at the surface of the asteroid.

b) Find the escape velocity from the asteroid.

A plane flies at 1.75 times the speed of sound. Its sonic boom reaches a man on the ground 1.00 min after the plane passes directly overhead. What is the altitude of the plane? Assume the speed of sound to be 330 m/s.

An unstable particle with a mass equal to 3.34x10^-27 kg is initially at rest. The particle decays into two fragments that fly off with velocities of 0.981c and -0.863c, respectively. Find the masses of the fragments. (Hint: Conserve both mass-energy and momentum.)

m = 0.981c = _______kg

m = -0.863c = ______kg

U22P1 In the reflection and refraction lab a beam of white light is passed through a prism at an angle of 30 and separated into a spectrum. The red portion of the spectrum is measured to be at an angle of 52 and the blue at 55 . What is the index of refraction for each color?

nred = ________

nblue = _______ What is the velocity of the blue light as it passes through the prism.

vblue prism = ___________

A 0.200-kg block on a smooth horizontal surface gains a speed of 28.2 cm/s when it is released from rest at the free end of a spring that is compressed by 3.20 cm. The block is then connected to the free end of the spring to form a mass-spring system.

What is the spring constant? (A) 15.5 N/m; (B) 16.5 N/m; (C) 17.5 N/m; (D) 18.5 N/m; (E) 19.5 N/m.

What is the period of this harmonic oscillator? (A) 0.413 s; (B) 0.513 s; (C) 0.613 s; (D) 0.713 s; (E) 0.813 s.

What happens to the period if the mass of the block is doubled? (A) No change; (B) Doubled; (C) Increased by 40%; (D) Decreased by 40%; (E) Quadrupled.

Two tugboats pull a disabled supertanker. Each tug exerts a constant force of 1.9×10⁶ N, one an angle 10 ∘ west of north and the other an angle 10 ∘ east of north, as they pull the tanker a distance 0.87 km toward the north.

What is the total work they do on the supertanker?

Express your answer in joules.

An upright object is placed in front of a concave mirror. The radius of curvature of mirror is 40 cm.
(a) Where should the object be placed in order to obtain an image that is twice as large as the object?
(b) Is the image upright or inverted?

SHOW ALL STEPS & DIAGRAM

Three solid objects (A, B, and C) are placed in water. The objects each have constant densities of 160, 260, and 745 kg/m3, respectively. a.) How do you immediately know all three objects will float? b.) Find the fraction of the volume submerged for each object. A: B: C: c.) If object C has the dimensions (length=8 m, width=7 m, height=3 m), how far does this object stick out of the water when floating (in this orientation)? m

We all know the Earth exerts gravity on us, but other objects in the solar system also pull on us. In the following series of problems we will investigate how strong gravity is for a person standing on the surface of the Earth from various objects in the solar system. You can answer the following series of questions using Newton's Law of Gravity; use the units given and the Gravitational Constant, G = 6.67 ×10-11 m3/kg/s2.

1. What is the force of gravity due to the Earth on a 46.0 kg ASTR 110 student standing on the equator during Spring Break. DATA: Equatorial radius of the Earth 6.378×10⁶ meters; mass of the Earth 5.98×10²⁴ kg.
2. What is the force of gravity due to the Moon on a 46.0 kg ASTR 110 student standing on the equator during Spring Break. DATA: mean distance to the Moon 3.84×10⁸ meters; mass of the Moon 7.36×10²² kg.
3. When Jupiter is on the same side of the Sun as the Earth the distance between the Earth and Jupiter can be as small as 6.30×10¹¹ m. Knowing this, what is the maximum force of gravity due to Jupiter on a 46.0 kg ASTR 110 student standing on the equator during Spring Break. DATA: Mass of Jupiter = 1.90×10²⁷ kg.
4. Some people claim that the location of Jupiter can have dramatic consequences on human events on Earth. For comparison to the last problem, what is the force of gravity due to a 100 kg person hugging a 46.0 kg ASTR 110 student. Assume the distance between the students is 0.3 meters.

This force can either push the block upward at a constant velocity or allow it to slide downward at a constant velocity. The magnitude of the force is different in the two cases, while the directional angle θ is the same. Kinetic friction exists between the block and the wall, and the coefficient of kinetic friction is 0.310. The weight of the block is 55.0 N, and the directional angle for the force Upper F Overscript right-arrow EndScripts is θ = 31.0°. Determine the magnitude of Upper F Overscript right-arrow EndScripts when the block slides (a) up the wall and (b) down the wall.

Show all steps please!

An object of mass m with a certian initial speed on a horizontal surface comes to rest after traveling a distance of 15m. If the coefficient of friction is .25, what is the initial speed of the object? Use g= 10m/s^2