A ball of mass 4.7 kg and a diameter of 68.2 cm is attached to a string of length 1.1 m. It moves in a circular path at constant speed, 3.0 m above the ground. The string makes a constant angle of 17 ° with respect to vertical.
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- A diver jumps off a cliff of h at an angle of 0 =38° (see figure below). He reaches a maximum height of hmaz x = 42m from the base of the cliff. Determine the speed of the diver just before he hits the water, = 3m above the top of the cliff before falling to the water below. He hits the water VA =?.Express your answer in units of m/s. Take g 9.80m/s2. Round your answer to zero decimal places. Jrmax Answer:A toy car starts at rest and accelerates up a 40 degree ramp with acceleration a=sqrt(t^3). It then flies into the air, and lands back on the ground. If the height of the ramp h=6, what is the horizontal distance x?A ball of mass 1.2 kg and a diameter of 36.1 cm is attached to a string of length 1.6 m. It moves in a circular path at constant speed, 5.2 m above the ground. The string makes a constant angle of 43 ° with respect to vertical. L m (a) What is the speed of the ball? (b) What is the tension in the string?
- A particle travels in a circular orbit of radius 10 m. Its speed is changing at a rate of 15.0 m/s2 at an instant when its speed is 40.0 m/s. What is the magnitude of the acceleration of the particle?A rocket starts from rest and moves upward from thesurface of the earth. For the first 10.0 s of its motion, the vertical accelerationof the rocket is given by ay = 12.80 m/s32t, where the+y-direction is upward. What is the speed of the rocket when it is 325 m above the surface of the earth?A ball of mass 1.6 kg and a diameter of 41.1 cm is attached to a string of length 1.1 m. It moves in a circular path at constant speed, 4.5 m above the ground. The string makes a constant angle of 42° with respect to vertical. m (a) What is the speed of the ball? (b) What is the tension in the string?
- A plane is traveling in a circular path 35 km in diameter. It is banking at an angle of 12°, which indicates that its sideward acceleration is 2.1 m/s2. What is its speed?Bart Jumps Springfield Gorge on his skateboard. Springfield Gorge us 50m wide, and Bart has constructed a 1.0 m Hugh ramp inclined at 30° to the horizontal. Air resistance is neglected. Homer had calculated that he can jump the gorge if the ramp is inclined to 45°, and he attains a speed of 20m/s. Will Homer make it? If not, how far short of the other side is he when he drops below the level of the ground?A rocket accelerates at 25m/s2 from rest on a frictionless inclined surface. The inclined ramp has a height of 70m and makes a 32 degrees angle above the ground. The rocket stops accelerating at the instant it leaves the incline. If air resistance is negligible, what is the horizontal distance 'R' from the end of the ramp to the point of impact (where it hits the ground)? a) Draw a diagram of this situation and be sure to include the distance 'R' b) Calculate the distance 'R' from the end of the ramp to the point of impact. 1.Draw the clear diagram 2. Give the indicating distance 'R' 3. Show your work 4. Find vertical and horizontal components of velocity when rocket leaves ramp 5. Find distance 'R'
- A diver jumps off a cliff of height h at an angle 0 = 58° (see figure). He reaches a maximum height of hmax= 21 m above the top of the cliff before falling to the water below. He hits the water X=215 m from the base of the cliff. Determine the speed of the diver just before he hits the water, VĄ. Take g=10m/s<. Round your answer to one decimal place. y Jhmax hA ball is thrown at a 60.0° angle above the horizontal across level ground. It is thrown from a height of 2.00 m above the ground with a speed of 20.0 m/s and experiences no appreciable air resistance. What is the time the ball remains in the air before striking the ground? Calculate time with 3 significant figures.(b) y-coordinate Need Help? Read It Watch It Submit Answer 2. DETAILS SERCP11 3.2.P.009. MY NOTES ASK YOUR TEACHER The best leaper in the animal kingdom is the puma, which can jump to a height of 3.7 m when leaving the ground at an angle of 45°. With what speed must the animal leave the ground to reach that height? m/s Need Help? Read It Watch It PRACTICE AOTHER MY NOTES ASK YOUR TEACHER 3. DETAILS SERCP11 3.2.P.014. From the window of a building, a ball is tossed from a height yo above the ground with an initial velocity of 8.90 m/s and angle of 22.0° below the horizontal. It strikes the gyound 6.00 s (a) If the base of the building is taken to be the origin of the coordinates, with upward-the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: Yo: Assume SI units. Do not substitute numerical values; use variables only.) later. 10:03