1) part one: An archer puts a 0.31 kg arrow to the bowstring. An average force of 193.1 N is exerted to draw the string back 1.14 m. The acceleration of gravity is 9.8 m/s^2. Assuming no fictional loss, with what speed does the arrow leave the bow? Answer in units of m/s 2) part two: if the arrow is shot straight up, how high does it rise? Answer in units of m

You place a crate of mass 40.9 kg on a frictionless 2.64-meter-long incline. You release the crate from rest, and it begins to slide down, eventually reaching the bottom 1.52 s after you released it. What is the angle of the incline?      17.6 degrees      13.5 degrees      21.6 degrees      25.9 degrees

You place a crate of mass 43.2 kg on a frictionless 4.99-meter-long incline. You release the crate from rest, and it begins to slide down, eventually reaching the bottom 1.99 s after you released it. What is the angle of the incline?     17.9 degrees     14.9 degrees     20.9 degrees     25.1 degrees

A crate of mass m = 2.00 kg is released from rest at the top of an inclined plane as seen in the figure. The crate starts out at height = 0.100 m above the top of the table, the table height is H = 2.00 m, and 0 = 41.0⁰. H ↑ h i (a) What is the acceleration (in m/s2) of the crate while it slides down the incline? m/s² m (b) What is the speed (in m/s) of the crate when it leaves the incline? m/s (c) At what horizontal distance (in m) from the end of the table will the crate hit the ground? m O No (d) How long (in s) from when the crate is released does it hit the ground? S (e) Does the crate's mass affect any of your above answers? Yes

You place a crate of mass 20.3 kg on a frictionless 2.61-meter-long incline. You release the crate from rest, and it begins to slide down, eventually reaching the bottom 1.01 s after you released it. What is the angle of the incline?     37.7 degrees     31.4 degrees     44.0 degrees     57.2 degrees

Problem 4: A sled starts from rest at the top of a snow-covered incline that makes an angle of p = 19.3 degrees with horizontal. After sliding a distance d= 68 m down the slope, the speed of the sled is s = 14.1 m/s.

A frictionless plane is 10.0 m long and inclined at 42.0°. A sled starts at the bottom with an initial speed of 5.70 m/s up the incline. When the sled reaches the point at which it momentarily stops, a second sled is released from the top of the incline with an initial speed v. Both sleds reach the bottom of the incline at the same moment. (a) Determine the distance that the first sled traveled up the incline. (b) Determine the initial speed of the second sled.

You place a crate of mass 36.4 kg on a frictionless 3.71-meter-long incline. You release the crate from rest, and it begins to slide down, eventually reaching the bottom 1.56 s after you released it. What is the angle of the incline?     40.8 degrees     22.7 degrees     18.1 degrees     27.2 degrees

At the Earth's surface, a projectile is launched straight up at a speed of 7.5 km/s. To what height will it rise? Ignore air resistance. 2.87e+06 Your response differs from the correct answer by more than 10%. Double check your calculations. m

5. A student throws a 0.1 kg ball into the air. (A) Just after the ball leaves their hand, it has a velocity of 5 m/s. (B) At the peak of its motion, it has a velocity of 2 m/s. Assuming no air resistance, to what height dịd the student throw the ball? Also, assume the ball started at h=0 (The zero-reference line is at the starting position of the ball). The energy chart is optional. KE- Vz- Poson A SystemFlow Poston KE- 1.2SJ@ A KE /2..1.2 KE- 0.25 @B Etr E, E Ea Et E, E En Energy Equation KETGPE = KE + GPE 6. A parachutist of mass 50.0 kg jumps out of a stationary balloon at a height of 1,000 meters. The system consists of the parachutist and the Earth, if the parachutist lands with a speed of 5.0 m/s, how much energy was transferred out of the system (so energy transferred to something else)? 7. Suppose the spring below has a spring constant of 50. N/m. The box has a mass of 8.0 kg and rests on a surface of negligible friction. In the diagram above, the spring was compressed 4.0 m.…