Use the formula for gravitational potential energy (PE=mgh), and solve for height.
Power is defined as the rate at which work is done, or energy is transferred. If 300 joules of energy is transferred in 10 seconds, then the power would be 30 watts (300 J / 10 s = 30 W).
The potential energy of the rock is 29,430 Joules. This is calculated as the product of the mass (10 kg), gravitational acceleration (9.81 m/s^2), and height (300 m) of the rock above the ground. The formula is PE = mgh.
The potential energy of the rock can be calculated using the formula: potential energy = mass × gravity × height. Given the mass of the rock (10.2 kg), the height of the hill (300 meters), and the acceleration due to gravity (approximately 9.81 m/s^2), the potential energy would be 10.2 kg × 9.81 m/s^2 × 300 m = 29970.6 Joules.
The kinetic energy of the bullet can be calculated using the formula: KE = 0.5 * m * v^2, where m is the mass and v is the velocity. Plugging in the values, KE = 0.5 * 0.02 kg * (300 m/s)^2 = 900 J. So, the kinetic energy of the bullet is 900 joules.
400 joules.
Power is defined as the rate at which work is done, or energy is transferred. If 300 joules of energy is transferred in 10 seconds, then the power would be 30 watts (300 J / 10 s = 30 W).
The potential energy of the rock is 29,430 Joules. This is calculated as the product of the mass (10 kg), gravitational acceleration (9.81 m/s^2), and height (300 m) of the rock above the ground. The formula is PE = mgh.
If you look at your television set's nameplate, it will specify its power in watts. A watt is simply a joule per second. So, if your television is rated at, say, 300 W, then it is transferring energy at the rate of 300 joules per second.
Based on the formula, P = E/T , and 5 min is 300 seconds, 100 = E/300, E = 30000
To calculate the energy used by the blender, we first convert the power from kilowatts to watts: 0.3 kW = 300 watts. Then, we use the formula Energy (in joules) = Power (in watts) x Time (in seconds). Plugging in the values, we get Energy = 300 watts x 50 seconds = 15,000 joules. Finally, to convert joules to kilojoules, we divide by 1,000: 15,000 joules ÷ 1,000 = 15 kJ. Therefore, the blender uses 15 kilojoules of energy to make the fruit smoothie.
The potential energy of the rock can be calculated using the formula: potential energy = mass × gravity × height. Given the mass of the rock (10.2 kg), the height of the hill (300 meters), and the acceleration due to gravity (approximately 9.81 m/s^2), the potential energy would be 10.2 kg × 9.81 m/s^2 × 300 m = 29970.6 Joules.
The kinetic energy of the bullet can be calculated using the formula: KE = 0.5 * m * v^2, where m is the mass and v is the velocity. Plugging in the values, KE = 0.5 * 0.02 kg * (300 m/s)^2 = 900 J. So, the kinetic energy of the bullet is 900 joules.
400 joules.
The amount of heat produced by the 100 W heater in 5 minutes can be calculated as follows: Power (in watts) = 100 W Time (in seconds) = 5 minutes * 60 seconds/minute = 300 seconds Energy = Power * Time = 100 W * 300 s = 30,000 joules So, the heater will produce 30,000 joules of heat.
To convert feet per second (fps) to joules, you need the mass of the projectile. The formula to calculate joules is 0.5 * mass * velocity^2. Without knowing the mass of the projectile, it is not possible to accurately calculate joules based solely on the velocity of 300 fps.
700 joules
The total work done or energy transferred is equal to the product of the force and the displacement in the direction of the force applied. In this case it would be 300N x 10m to get 3000J. This energy is transferred in 10 seconds and since power is energy transferred per unit time... 3000J divided by 10 seconds equals 300 Watts or 300 Joules per second.