The potential energy is most often referred to as the "energy at rest" and is dependent on the elevation of an object. This can be calculated through the equation,
E = mgh
where E is the potential energy, m is the mass, g is the acceleration due to gravity, and h is the height. In this item, we are not given with the mass of the cart so we assume it to be m. The force is therefore,
E = m(9.8 m/s²)(0.5 m) = 4.9m
Hence, the potential energy is equal to 4.9m.
Answer:
0.62
Explanation:
A = Amplitude
f = Frequency = 1.85 Hz
= Coefficient of static
g = Acceleration due to gravity = 9.81 m/s²
Angular frequency
Maximum acceleration
Coefficient of static friction between penny and tabletop is 0.62
The acceleration will remain the same (assuming air resistance is negligible or consistent) however the velocity will change in magnitude.
Answer:
Explanation:
It is given that,
Mass of the loop, m = 10 g = 0.01 kg
Resistance of the loop, R = 0.02 ohms
Dimension of square loop, 7 cm × 7 cm
Area of the loop,
At time t = 0 s, the magnetic field increases from 0 to 1 T in 0.01 s
(a) Due to change in magnetic field, an emf is induced in the loop. Using the formula for induced emf as :
Now using Ohm's law to find the induced current in the loop. It is given by :
I =24.5 A
(b) A magnetic force acting on the loop is given by :
F = 0.8575
Since,
v = 0.8575 m/s
Hence, this is the require solution.
Answer : The temperature of water is,
Explanation :
In this problem we assumed that heat given by the hot body is equal to the heat taken by the cold body.
where,
= specific heat of thermometer =
= specific heat of water =
= mass of thermometer = 33.0 g
= mass of water = 149 g
= final temperature =
= initial temperature of thermometer =
= initial temperature of water = ?
Now put all the given values in the above formula, we get:
Therefore, the temperature of water is,