Power P is the rate at which energy is generated or consumed and hence is measured in units that represent energy E per unit time t. This is:
P = E/t
Solving for t:
t = E/P
t = 6007 J / 500 W
t = 12.014 s
<h2>
t ≅ 12 s</h2>
Answer:
The maximum height that a cannonball fired at 420 m/s at a 53.0° angles is 5740.48m.
hmax = 5740.48 m
Explanation:
This is an example of parabolic launch. A cannonball is fired on flat ground at 420 m/s at a 53.0° angle and we have to calculate the maximum height that it reach.
V₀ = 420m/s and θ₀ = 53.0°
So, when the cannonball is fired it has horizontal and vertical components:
V₀ₓ = V₀ cos θ₀ = (420m/s)(cos 53°) = 252.76 m/s
V₀y = V₀ cos θ₀ = (420m/s)(cos 53°) = 335.43m/s
When the cannoball reach the maximum height the vertical velocity component is zero, that happens in a tₐ time:
Vy = V₀y - g tₐ = 0
tₐ = V₀y/g
tₐ = (335.43m/s)/(9.8m/s²) = 34.23s
Then, the maximum height is reached in the instant tₐ = 34.23s:
h = V₀y tₐ - 1/2g tₐ²
hmax = (335.43m/s)(34.23s)-1/2(9.8m/s²)(34.23s)²
hmax = 11481.77m - 5741.29m
hmax = 5740.48m
Answer:
B. an action-reaction force pair
Answer:
Team A has the greatest momentum
Explanation:
The momentum of an object is a vector quantity given by

where
m is the mass of the object
v is its velocity
In this problem, we have to compare the momenta of the different sleds.
We have:
A) Sled Team A 48 kg moving at 10m/s:
m = 48 kg
v = 10 m/s
p = (48)(10) = 480 kg m/s
B) Sled Team B 14 kg moving at 18m/s
m = 14 kg
v = 18 m/s
p = (14)(18) = 252 kg m/s
C) Sled Team C 28 kg moving at 12m/s
m = 28 kg
v = 12 m/s
p = (28)(12) = 336 kg m/s
D) Sled Team D 22 kg moving at 12m/s
m = 22 kg
v = 12 m/s
p = (22)(12) = 264 kg m/s
So, team A has the greatest momentum.
Answer:
Yes. The fact that an object moves at constant velocity implies that its speed is also constant. Note that the converse statement isn't necessarily true.
Explanation:
Velocity is a vector. For two vectors to be equal to each other,
- their magnitudes (sizes) need be the same, and
- they need to point in the same direction.
In motions, the magnitude of an object's velocity is the same as its speed.
If the car moves with a constant velocity, that means that
- the magnitude of its velocity, the speed of the car, is constant;
- also, the direction of the car's motion is also constant.
In other words,
.
Note that the arrow here points only from the velocity side to the speed side. It doesn't point backward because knowing that the speed of an object is constant won't be sufficient to prove that the velocity of the object is also constant. For example, for an object in a uniform circular motion, the speed is constant but the direction keeps changing. Hence the velocity isn't constant.