<span>A motor produces less mechanical energy than the energy it uses because the motor looses some energy to heat.</span>
We want to find how much momentum the dumbbell has at the moment it strikes the floor. Let's use this kinematics equation:
Vf² = Vi² + 2ad
Vf is the final velocity of the dumbbell, Vi is its initial velocity, a is its acceleration, and d is the height of its fall.
Given values:
Vi = 0m/s (dumbbell starts falling from rest)
a = 10m/s² (we'll treat downward motion as positive, this doesn't affect the result as long as we keep this in mind)
d = 80×10⁻²m
Plug in the values and solve for Vf:
Vf² = 2(10)(80×10⁻²)
Vf = ±4m/s
Reject the negative root.
Vf = 4m/s
The momentum of the dumbbell is given by:
p = mv
p is its momentum, m is its mass, and v is its velocity.
Given values:
m = 10kg
v = 4m/s (from previous calculation)
Plug in the values and solve for p:
p = 10(4)
p = 40kg×m/s
Given:
The initial volume of the gas, V₁=3200 ml=3.2×10⁻³ m³
The initial pressure of the gas, P₁=122 kPa
The initial temperature of the gas, T₁=27 °C=300 K
The final temperature, T₂=65 °C=338 K
The final pressure, P₂=112 kPa
To find:
The final volume of xenon gas.
Explanation:
From the combined gas law,
Where V₂ is the volume after it is heated.
On rearranging the above equation,
On substituting the known values,
Final answer:
The volume of the balloon when it is heated is 3.61 m³
Answer:
Explanation:
Ignoring friction, the acceleration will double
F = ma
2F = m(2a)
Answer:
Frequency=10 Hz
Period=0.1 s
Explanation:
Frequency of a wave is the number of complete cycles per unit time. Usually, frequency is cycles per second, with unit as Heartz
Given cycles of the wave as 200 and time as 20 seconds
Frequency=200÷20=10 cycles per second
Therefore, frequency is 10 Hz
Period is usually the reviprocal of frequency hence reciprocal of 10 Hz will be 1/10=0.1 s
