A particle of mass M moves along a straight line with initial speed vi. A force...

A particle of mass M moves along a straight line with initial speed vi. A force of magnitude Fpushes the particle a distance D along the direction of its motion.

A) Find vf, the final speed of the particle after it has traveled a distance D. Express the final speed in terms of vi, M, F, and D.

B) By what multiplicative factor RK does the initial kinetic energy increase, and by what multiplicative factor RW does the work done by the force increase (with respect to the case when the particle had a mass M)? If one of the quantities doubles, for instance, it would increase by a factor of 2. If a quantity stays the same, then the multiplicative factor would be 1. You should enter the two factors separated by a comma.

C) By what factor RK does the initial kinetic energy increase (with respect to the first situation, with mass M and speed vi), and by what factor RW does the work done by the force increase?

Expert Solution

genius_generous answered 1 year ago

2. a. A particle moves in a straight line along with the ? − ???? its...

2. a. A particle moves in a straight line along with the ? − ???? its displacement is given by the equation ?(?) = 5? 3 − 8? 2 + 12? + 6,? ≥ 0, where ? is measured in seconds and s is measured in meters. Find: i. The velocity function of the particle at time ? (2marks) ii. The acceleration function of the particle at time t. (2marks) iii. The acceleration after 5 seconds (1marks) b. Find the...

A particle moves along a straight line with an acceleration a=2v1/2m/s2, where v is in m/s....

A particle moves along a straight line with an acceleration a=2v1/2m/s2, where v is in m/s. If s = 0, v = 1 m/s when t = 0, determine the time for the particle to achieve a velocity of 18 m/s. Also, find the displacement of particle when t = 1 s. Express your answer using three significant figures and include the appropriate units.

A projectile of mass m moves to the right with speed Vi and collides and sticks...

A projectile of mass m moves to the right with speed Vi and collides and sticks to the end of a uniform rod of length L and mass M that is pivoted about its top end and can swing in the vertical plane. Find the angular speed right after the collision.

Mass M moves to the right with speed =v along a frictionless horizontal surface and crashes...

Mass M moves to the right with speed =v along a frictionless horizontal surface and crashes into an equal mass M initially at rest. Upon colliding, the two masses stick together and move with speed V to the right. Notice that v and V denote different speeds. After the collision the magnitude of the momentum of the system is: (pick all correct answers) 2 M V M V 0 2 M v M v

One particle whose mass is defined by m is moving along a certain line in the...

One particle whose mass is defined by m is moving along a certain line in the region x>0 is subjected to a conservative net force given by the following equation: F(x)= F₀x eˣ^²/²ᴸ^² The constants F and L are both positive real quantities with appropriate physical dimensions. Find the formula for the corresponding U(x), with the given assumption that the limₓ↠∞U(x)=0. Secondly, we know that the particle is launched from an initial location x₀>>>L towards x=0. (the >>> mean that...

A ball of unknown mass m is tossed straight up with initial speed v. At the...

A ball of unknown mass m is tossed straight up with initial speed v. At the moment it is released, the ball is a height h above a spring-mounted platform, as shown in the figure below. The ball rises, peaks, and falls back toward the platform, ultimately compressing the spring a maximum distance d from its relaxed position. Assume that the spring is perfectly ideal with spring constant k, and that the mass of the spring and platform is negligible....

A particle moves along a line with velocity function ?(?) = ?^2 − ?, where v...

A particle moves along a line with velocity function ?(?) = ?^2 − ?, where v is measured in meters per second. a. Find distance traveled by the particle in time interval [0, 6] seconds. b. Find the net displacement. 8. Estimate the area from -1 to 9 under the graph of f(x) = 81 – x^2 using five approximating rectangles and midpoints as sample points.

An object moves along a straight line. The position as a function of time is given...

An object moves along a straight line. The position as a function of time is given by the following 22 formula x(t)=5m+(2m/s)t–(0.6m/s)t^2. Please answer all of the parts, I will give a good rating**** :) How long after starting does it take the object to pass the origin? At what time is the object located 4 m from the origin? Sketch the following graphs: x(t), v(t), a(t). Find the object’s initial acceleration. At what time will the object come to...

A person walks first at a constant speed of 4.90 m/s along a straight line from...

A person walks first at a constant speed of 4.90 m/s along a straight line from point circled A to point circled B and then back along the line from circled B to circled A at a constant speed of 2.90 m/s. Find the average Velocity for the time interval of 1.80s to 2.80s and also the average velocity for the time interval of 1.85s to 2.25s.

A beanbag of mass 185 grams is thrown horizontally with an initial speed of vi =...

A beanbag of mass 185 grams is thrown horizontally with an initial speed of vi = 2.4 m/s from a height 1.2 meters above a level ground. When it reaches the ground, the beanbag comes to a rest in 819 milliseconds. What is the average friction force acting from the ground onto the beanbag during this collision, in units of Newtons? Since you are computing a magnitude of force, your answer should be a positive number.

Question