1. Find the dimension of the quantity below b., kinetic and potential energy the sama dimension c. Energy/volume, heat/length 2. An object with a mass of 0.2 kg is dropped from a height of 50 cm on a vertical spring with a constant k = 150 N/m. Acceleration of gravity g = 10 m/s2 Calculate: (a). The velocity of the object when it hits the end of the spring. (b). How far will the spring be compressed. 3. A ball is kicked so that it has an initial velocity of 20.0 m/s and makes an angle of 37.0° to the horizontal axis, calculate: a) The maximum height of the ball, b) The time it takes the ball to hit the ground, c) The horizontal distance the ball hits the ground, d) velocity vector at maximum height and e) acceleration vector at maximum height. 4. Two objects have a mass M₁ (2 Kg) and M₂ (1 Kg) connected by a rope with a tension (T) as shown in the figure below. a. Find the acceleration and the tension of the system if the friction of the object and the surface is neglected. b. Find the acceleration and the tenof friction is known 0.25 N.
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