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Three equally Spaced Masses Find the centre of mass of three particles located at the vertices of an equilateral triangle as shown in Figure 7-12(a). The length of each side of the triangle is L and all three particles have the same mass, m.
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Polymer Physics
An irregular Object Find the centre of mass of the slab shown in Figure 7-14. The slab is homogeneous with a total mass of m and lower and left edges of length L.
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Polymer Physics
Stranded astronaut An astronaut’s manoeuvring unit fails while she is inspecting the nose of an orbiter in orbit. Another astronaut uses the orbiter’s robotic arm to move the stranded astronaut from the nose section to the airlock. Derive an expression for how far the orbiter moves as a result of this action.
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Polymer Physics
Applying Conservation of Momentum A bear cub (m = 21.0 kg) is sitting on a wagon (M= 31.0 kg), which is moving at a speed of v= 2.00 m/s. The cub then jumps backward off the wagon with a speed of 3.00 m/s with respect to the wagon. Ignoring the effects of friction, find the speed of the cub and the wagon with respect to the ground after the cub jumps.
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Polymer Physics
Rugby tackle A 60.kg rugby player is running at a speed of 9.0 m•s^(-1) when she is tackled by a 70.kg player who is running at 8.0 m•s^(-1) in a direction perpendicular to that of the first player. The players emerge from the tackle together at the same velocity. Find the magnitude and direction of the velocity with which they emerge from the tackle.
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Polymer Physics
Inelastic Collision Children are playing with a small ball of steel of mass m_b suspended on a string such that the ball hangs just above a slippery plastic mat. The children slide a magnet of mass m_M along the mat to strike the steel ball. When the magnet strikes the steel ball at speed v_M, the magnet sticks to the ball, causing it to swing in an arc from its rest position. Assume that all friction in the system is negligible. Derive an expression for the height, h, that the ball and the magnet reach after the collision. Calculate the height using the following values: m_M=92.0 g,m_b=190.g,and v_M=7.00 m/s.
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Polymer Physics
Dynamics Carts and Springs A 1.45 kg dynamics cart travelling at 4.80 〖m•s〗^(-1) collides with a stationary dynamics cart of mass 1.78 kg. The second cart has a spring with spring constant 4000. N•〖m•s〗^(-1) attached to it to cushion the collision. Assuming that friction with the ground can be ignored, find the maximum compression in the spring the maximum force on either cart during the collision the maximum acceleration experienced by the lighter cart during the collision
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Polymer Physics
An elastic Collision A 100.g marble is moving to the right at a speed of 3.00 〖m•s〗^(-1). It undergoes an elastic collision with a 200.g marble moving to the left at a speed of 4.00 〖m•s〗^(-1). Find the velocities of the marbles after the collision.
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Polymer Physics
