A launcher with mass \( m_{4} \) is suspended from the ceiling hy a string. as shonsn. \( \mathrm{A} \) bloek with mass wi \( < \) mi is taunched borixontally. At the moment of launch, the block bas viknown specd \( v_{2} \) and the laekcher has unknewn specd \( n \) in the opposite diretion. Which of the following is a true Ntatement aleval the foroes exered betweea tho lascher asd block? (A) The latencher exeris a greater force on the block than the block exerts on the launcher. (13) The block excrts a greates foree on the launcher than the launcher exerts on the block. (C) The block and the launcher evert forses of equal magnitude on cach otliet. (D) The relative magnitude of the force exerted on the sping by the block and launcher cannot be detenninod without knowing \( v_{1} \) and \( r_{2} \). 3. 4.
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a 15 gram projectile short vertically from a spring powered launcher. to load launcher, the spring is compressed by a distance of 9.8 cm. after beging launched the projectile rises to a height of 3.68 meter above the launcher. find the muzzle velocity of the launcher and the spring constant k of launcher.
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A $0.1 \mathrm{~kg}$ block is pressed against a horizontal spring fixed at one end to compress the spring through $5 \mathrm{~cm}$. The spring constant is $100 \mathrm{~N} / \mathrm{m}$. The ground is $2 \mathrm{~m}$ below the spring. Which of the following is/are correct? (a) When released, the block shall have a kinetic energy of $\frac{1}{8} \mathrm{~J}$. (b) The initial hoizontal velocity of the block is $\sqrt{\frac{5}{2}} \mathrm{~m} / \mathrm{s}$. (c) The block shall reach the ground in $\sqrt{\frac{2}{5}} \sec$. (d) The block will hit the ground at a horizontal distance of 1 metre from the free end of the spring.
Work, Energy, Power and Circular Motion
Section B
(III) Three blocks on a frictionless horizontal surface are in contact with each other, as shown in Fig. $4-51 .$ A force $\overrightarrow{\mathbf{F}}$ is applied to block A (mass $m_{\mathrm{A}} ) .$ (a) Draw a free-body diagram for each block. Determine $(b)$ the acceleration of and then its velocity at the moment the heavier one hits the ground. This is its "launch" speed. Assume it doesn't hit the pulley.
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