a) What will her velocity be after she has finished pushing against the rescue pod? (b) How long before the rescue ship is due to arrive a point P should the space voyager begin her push?

A mysterious force acts on all particles along a particular line and always points towards a particular point P on the line. The magnitude of the force on a particle increases as the cube of the distance from that point, that is, F∝ r3, if the distance from the P to the position of the particle is r. It has been determined that the constant of proportionality is 0.23 N/m3, i.e. the magnitude of the force on a particle can be written as 0.23r3, when the particle is at a distance r from the force center. Find the magnitude of the potential energy, in joules, of a particle subjected to this force when the particle is at a distance 0.21 m from point P assuming the potential energy to be zero when the particle is at P.  PE= ?

A block with a mass of m = 16 kg rests on a frictionless surface and is subject to two forces acting on it. The first force is directed in the negative x-direction with a magnitude of F1 = 8.5 N. The second has a magnitude of F2 = 19.5 N and acts on the body at an angle θ = 11° measured from horizontal, as shown. a.) Write an expression for the component of net force, Fnet,x, in the x-direction, in terms of the variables given in the problem statement. b.) Write an expression for the magnitude of the normal force, FN, acting on the block, in terms of F2 and the other variables of the problem. Assume that the surface it rests on is rigid. c.) Find the block's acceleration in the x-direction, ax, in meters per second squared.

Determine the force Q-> when the block moves with constant velocity. Express your answer in vector form.

The high-speed winds around a tornado can drive projectiles into trees, building walls, and even metal traffic signs. In a laboratory simulation, a standard wood toothpick was shot by pneumatic gun into an oak branch. The toothpick mass was 0.14 g, its speed before entering the branch was 221 m/s, and its penetration depth was 17 mm. If its speed was decreased at a uniform rate, what was the magnitude of the force of the branch on the toothpick?

A particle of mass m moving along the x-axis experiences the net force Fx=ct, where c is a constant. The particle has velocity v0x at t = 0. Find an algebraic expression for the particle's velocity vx at a later time t. Express your answer in terms of the variables c, t, v0x, and m.

Under the influence of its drive force, a snowmobile is moving at a constant velocity along a horizontal patch of snow. When the drive force is shut off, the snowmobile coasts to a halt. The snowmobile and its rider have a mass of 139 kg. Under the influence of a drive force of 180 N, it is moving at a constant velocity whose magnitude is 5.43 m/s. The drive force is then shut off. Find (a) the distance in which the snowmobile coasts to a halt and (b) the time required to do so. (a) S = (b) t = i i

On a horízontal air track, a glider of mass m carries a l-shaped post. The post supports a small dense sphere, also of mass m, hanging just above the top of the glider on a cord of length L. The glider and sphere are initially at rest with the cord vertical. (Figure a below shows a cart and a sphere similarly connected.) A constant horizontal force of magnitude F is applied to the glider, moving it through displacement x;; then the force is removed. During the time interval when the force is applied, the sphere moves through a displacement with horizontai component x2. (a) Find the horizontal component of the velocity of the center of mass of the glider-sphere system when the force is removed. (Use the following as necessary: F, x1, x2, and m.) F(x, +x2) VCM 2m (b) After the force is removed, the glider continues to move on the track and the sphere swings back and forth, both without friction. Find an expression for the largest angle the cord makes with the vertical. (Use any variable…

(Figure 1) shows a F = 6.4 N force pushing two gliders along an air track. The 170 g spring between the gliders is compressed. Assume the force Facts and the whole system moves in the same direction. The spring does not sag. Figure F A 400 g m B 600 g 1 of 1 Part A How much force does the spring exert on glider A? Express your answer to two significant figures and include the appropriate units. F = Submit Part B F = O Submit Value Request Answer How much force does the spring exert on glider B? Express your answer to two significant figures and include the appropriate units. μA Value Units Request Answer ? Units ?

Under the influence of its drive force, a snowmobile is moving at a constant velocity along a horizontal patch of snow. When the drive force is shut off, the snowmobile coasts to a halt. The snowmobile and its rider have a mass of 143 kg. Under the influence of a drive force of 220 N, it is moving at a constant velocity whose magnitude is 4.38 m/s. The drive force is then shut off. Find (a) the distance in which the snowmobile coasts to a halt and (b) the time required to do so. (a) s= (b) t = i i + +