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The cart shown below moves across the table top as the block falls. What is the acceleration of the cart? Neglect friction and assume the following data: m1 = 1.6 kg, m2 = 4.2 kg, I = 0.5 kg · m^2, and r = 17 cm. (Enter the magnitude in m/s2.) 

https://www.webassign.net/osuniphys1/10-7-p-094.pn...

A stick of length 1.3 m and mass 5.0 kg is free to rotate about a horizontal axis through the center. Small bodies of masses 4.0 and 2.0 kg are attached to its two ends (see the following figure). The stick is released from the horizontal position. What is the angular velocity of the stick (in rad/s) when it swings through the vertical? (Enter the magnitude.)

https://www.webassign.net/osuniphys1/10-p-114-alt....

A cord is wrapped around the rim of a solid cylinder of radius 0.50 m, and a constant force of 40 N is exerted on the cord, as shown in the following figure. The cylinder is mounted on frictionless bearings, and its moment of inertia is 4.3 kg · m^2. (Enter the magnitudes.)

https://www.webassign.net/osuniphys1/10-p-125.pngA... the work energy theorem to calculate the angular speed of the cylinder (in rad/s) after 5.6 m of cord have been removed.B) If the 40 N force is replaced by a 40 N weight, what is the angular speed of the cylinder (in rad/s) after 5.6 m of cord have unwound?

A torque of 49.4 N · m is applied to a grinding wheel (I = 18.2 kg · m^2) for 26 s. 

a) If it starts from rest, what is the angular velocity (in rad/s) of the grinding wheel after the torque is removed? (Enter the magnitude.)

b) Through what angle (in radians) does the wheel move through while the torque is applied?

A diver goes into a somersault during a dive by tucking her limbs. If her rotational kinetic energy is 138 J and her moment of inertia in the tuck is 7.4 kg · m^2, what is her rotational rate during the somersault (in rad/s)?

A small 1,500 kg SUV has a wheel base of 2.7 m. If 61% if its weight rests on the front wheels, how far (in m) behind the front wheels is the wagon's center of mass?

Two hockey players approach each other head on, each traveling at the same speed vi. They collide and get tangled together, falling down and moving off at a speed (vi/9). What is the ratio of their masses?

m1/m2=?

A 33 kg child sleds down a hill and then coasts along the flat section at the bottom, where a second 33 kg child jumps on the sled as it passes by her. If the speed of the sled is 7.1 m/s before the second child jumps on, what is its speed (in m/s) after she jumps on? (Assume the mass of the sled is negligible and the second child's motion before landing on the sled is perfectly vertical.)

A hockey puck of mass 162 g is sliding due east on a frictionless table with a speed of 12 m/s. Suddenly, a constant force of magnitude 2.5 N and direction due north is applied to the puck for 1.2 s. Find the north and east components of the momentum (in kg · m/s) at the end of the 1.2 s interval. (Indicate the directions with the signs of your answers.)

Water from a fire hose is directed horizontally against a wall at a rate of 56.3 kg/s and a speed of 42.7 m/s. Calculate the magnitude of the force exerted on the wall (in N), assuming the water's horizontal momentum is reduced to zero.

Calculate the final speed (in m/s) of a 113 kg rugby player who is initially running at 7.25 m/s but collides head-on with a padded goalpost and experiences a backward force of 1.70 ✕ 104 N for 7.50 ✕ 10^−2 s.

One hazard of space travel is debris left by previous missions. There are several thousand objects orbiting Earth that are large enough to be detected by radar, but there are far greater numbers of very small objects, such as flakes of paint. Calculate the force exerted in newtons by a 0.150 mg chip of paint that strikes a spacecraft window at a relative speed of 5.00 ✕ 103 m/s and sticks, given the collision lasts 6.00 ✕ 10−8 s. (Enter the magnitude.)

A mouse of mass 23.0 g falls 140 m down a vertical mine shaft and lands at the bottom with a speed of 9.0 m/s. During its fall, how much work (in J) is done on the mouse by air resistance?

A 175 g steel ball is tied to a 2.50 m "massless" string and hung from the ceiling to make a pendulum, and then, the ball is brought to a position making a 30° angle with the vertical direction and released from rest. Ignoring the effects of the air resistance, find the speed of the ball (in m/s) when the string is at the following positions.

a) hanging vertically down

b) making an angle of 20° with the vertical

c) making an angle of 10° with the vertical

A massless spring with force constant k = 208 N/m hangs from the ceiling. A 2.1 kg block is attached to the free end of the spring and released. If the block falls 16 cm before starting back upwards, how much work is done (in J) by friction during its descent?

a) What is its speed (in m/s) at the top of its path?

b) What is the tension (in N) in the string when the ball is at the bottom and at the top of its path?