physics.

posted by .

A 20.0 kg cannon ball is fired from a cannnon with muzzle speed of 1000 m/s at an angle of 37.0 with the horizontal. A second ball is fired at an angle of 90.0. Use the conservation of energy principle to find
a] the maximum height reached by each ball and
b] the total mechanical energy at the maximum height for each ball. Let y=0 at the cannon

For the first cannon, find the vertical component of velocity. Because the horizontal velocity is constant, the portion of KE that converts to gpe is given by 1/2 m vvertical^2.

mgh= 1/2 m vvertical^2 Solve for h.

a) Let Voy be the INITIAL vertical velocity component of either cannonball.
The maximum height H reached is given by
g H = (1/2)Voy^2
For the cannonball fired at 37 degrees,
Voy = 1000 sin 37 = 601.8 m/s
for the one fired vertially,
Voy = 1000 m/s
Now complete the calculation of h for each case
b) You can save your self severalsteps by using the fact that the total mechanical energy remains equal to the initial kinetic energy:
Etotal = (1/2) M V^2

• physics. -

A 20.0-kg cannon ball is fired from a cannon with a muzzle speed of 1000 m/s at an angle of 37.0° with the
horizontal. A second ball is fired at an angle of 90.0°. Use the conservation of energy principle to find
(a) the maximum height reached by each ball and
For the first cannon ball:
vy = 1000 sin 37 = 601.8 m/s
K = ½ m v² = U = m g h  h = v² / 2g = (601.8)² / 2 / 9.8 = 18,478 m
For the second cannon ball:
vy = 1000 sin 90 = 1000 m/s
K = ½ m v² = U = m g h  h = v² / 2g = (1000)² / 2 / 9.8 = 51,020 m
(b) the total mechanical energy at the maximum height for each ball. Let y = 0 at the cannon.
Total energy = ½ m v² = (0.5) (20) (1000)² = 10
7
J

Similar Questions

1. physics

A car P is moving with uniform speed of 5m/s towards a carriage of mass 9kg at rest kept on the rails at point B. the height of AC is 120m.cannon balls of 1kg are fired from the car with an initial velocity of 100m/s at an angle 30 …
2. physics

A cannon with a muzzle speed of 1008 m/s is used to start an avalanche on a mountain slope. The target is 1900 m from the cannon horizontally and 802 m above the cannon. At what angle, above the horizontal, should the cannon be fired?
3. Physics

During a training exercise a cannon ball is fired with a muzzle velocity of 84.9 m/s at an angle of 45o above the horizontal. Determine how far from the cannon the ball will land when it hits the ground.
4. Physics

A cannon ball is fired at 50 m/s at a 37 degree angle above the horizontal. Calculate the time the cannon ball in the air, calculate how high it rises and calculate how far from the cannon the ball lands?
5. AP Physics

Momentum One of those Civil War cannons is fired. The Cannon has a mass of 873kg It fires a 35.0kg cannon ball at a velocity of 145 m/s at an elevation angle of 35.0 degrees. The length of the barrel is 2.10m. (a) What is the recoil …
6. physics

A cannon ball is fired horizontally with an initial speed of 75 m/s from the top of a 50 m tall building. When the ball hits the ground, its velocity vector makes an angle with the horizontal. What is the angle?
7. physics

A cannon ball is fired horizontally with an initial speed of 75 m/s from the top of a 50 m tall building. When the ball hits the ground, its velocity vector makes an angle with the horizontal. What is the angle?
8. Physics

A cannon ball is fired from ground level with a speed of 86.0 m/s at an angle of 32 deg. above the horizontal. A 8.5 m tall wall is located 265 m away from the cannon. By how much does the cannon ball clear the wall?
9. Physics

A bronze cannon ball with a mass of 4.5 kg is fired vertically from a small cannon and reaches a height of 10.0 m. If the canon is now aimed at an angle 33 degrees above the horizontal, calculate the horizontal distance the cannon …
10. physics

A 25 kg cannon ball is fired from a cannon with muzzle speed of 1520 m/s at an angle of 35.5 ◦ with the horizontal. The acceleration of gravity is 9.8 m/s 2 . Use conservation of mechanical energy to find the maximum height reached …

More Similar Questions