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A crane lifts a 2.25x103N bucket containing 1.15m3 of soil (density 2.00x103kg/m3) to a height of 7.50m. Calculate the energy transformation (work) the crane performs.
Dancers have to learn many skills including how land correctly.A dancer of mass 50 kg leaps into the air and lands feet first on the ground .She lands on the ground with a velocity of 5metres per second.As she lands,she bends her knees and comes to a complete stop in 0,2 seconds.
A. calculate the momentum with which the dancer reaches the ground
B. Define impulse
C. Calculate the magnitude of the net force acting on the dancer as she lands
Convert 50.0 rev to radians
Four identical masses of 2 kg each are situated at the four corner of the square. A side of the square measures 3.0m. Find the moment of inertia about an axis passing through the center of the square and perpendicular to its plane
A battery has an emf of 1.50V. If you short circuit the battery with a wire with resistance 8.0Ω, a voltage of 1.12V is measured across the battery. What is the internal resistance of the battery?
A wire with length 15m and diameter 1mm has resistance 0.28Ω. What is the material this wire is made of?
A copper wire having length L and diameter d has risistance R. What will the resistance be of a copper wire with length 2L and diameter 2d?
A block with mass M is at rest on a frictionless, horizontal surface. The block is attached to an ideal, massless spring that initially is in equilibrium.
A riffle bullet with mass mp is fired with speed vb into the block and embeds itself in the block. The impact compresses the spring over a distance D. The block and bullet oscillate in simple harmonic motion.
(a) Calculate the angular frequency ω of the oscillation.
(b) When time t=0 is defined as the instant of impact, the positive x-axis is pointing to the right, and x=0 is the initial position of the block before impact, give an expression x(t) for the time dependent position of the block and bullet. Assume that the impact itself takes no time.
A body of mass 0.120 kg and a velocity of 0.50 m/s hits another identical body at rest, and the two recoils forming 90 degrees between them. If the final velocity of one of the balls are directed 30 degrees above horizontal, find their speeds after collision.
A 3.0-kg block moving to the right on a frictionless table at 4.0 m/s makes a head-on collision with another 3-kg block moving 5 m/s to the left. Find the final velocity of the blocks, if the collision is PERFECTLY INELASTIC.
