Estimate the rise in temperature of the brake discs in a car of mass 1200g,travelling at 30m/s which is brought to rest by the application of the brakes alone,the brake disc have a total mass of 5kg.Assummed that there is no heat loss and that the material of the 4 brake disc has a specific heat capacity of 800j/kg/k

Estimate the rise in temperature of the brake discs in a car of mass 1200g,travelling at 30m/s which is brought to rest by the application of the brakes alone,the brake disc have a total mass of 5kg.Assummed that there is no heat loss and that the material of the 4 brake disc has a specific heat capacity of 800j/kg/k

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To estimate the rise in temperature of the brake discs, we can use the equation:

Q = mcΔT

Where:
Q is the heat transferred
m is the mass of the object
c is the specific heat capacity of the material
ΔT is the change in temperature

Here, we will calculate the heat transferred to the brake discs by the kinetic energy of the car.

1. Calculate the kinetic energy of the car using the formula:
KE = (1/2)mv^2

Where:
m is the mass of the car
v is the velocity of the car

Given:
m (mass of the car) = 1200 g = 1.2 kg
v (velocity of the car) = 30 m/s

KE = (1/2) * 1.2 kg * (30 m/s)^2
KE = 540 J

2. The heat transferred to the brake discs is equal to the kinetic energy converted into heat when bringing the car to rest. So, Q = 540 J.

3. Calculate the temperature change of the brake discs using the equation Q = mcΔT.

Given:
m (mass of the brake discs) = 5 kg
c (specific heat capacity of the material) = 800 J/kg/K

Q = mcΔT
540 J = 5 kg * 800 J/kg/K * ΔT

Simplifying the equation, we can solve for ΔT:

ΔT = 540 J / (5 kg * 800 J/kg/K)
ΔT = 0.135 K

Therefore, the estimated rise in temperature of the brake discs is 0.135 degrees Celsius.

To estimate the rise in temperature of the brake discs, we can use the equation:

Q = mcΔT

Where:
Q is the heat transferred to or from the material (in joules),
m is the mass of the material (in kilograms),
c is the specific heat capacity of the material (in joules per kilogram per degree Celsius),
and ΔT is the change in temperature (in degrees Celsius).

To calculate the heat transferred to the brake discs, we first need to calculate the kinetic energy (KE) of the car before braking. The kinetic energy is given by:

KE = 0.5 * mass * velocity^2

Given that the mass of the car is 1200 kg and the velocity is 30 m/s, we first calculate the kinetic energy:

KE = 0.5 * 1200 * (30)^2 = 540,000 J

Since the kinetic energy is converted into heat energy when the brakes are applied, the heat transferred to the brake discs is equal to the initial kinetic energy of the car. Therefore, Q = 540,000 J.

Next, we need to calculate the total mass of the brake discs, which is given as 5 kg.

Now we can calculate the change in temperature using the equation:

ΔT = Q / (m * c)

ΔT = 540,000 J / (5 kg * 800 J/kg/°C) = 135 °C

Therefore, the estimated rise in temperature of the brake discs is 135 °C.