The temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees Fahrenheit. If the temperature F of th
e coffee t minutes after it was poured can be determined by the formula F = 120(2–at) + 60, where F is in degrees Fahrenheit and a is a constant, then the temperature of the coffee 30 minutes after it was poured was how many degrees Fahrenheit?
1 answer:
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Answer:
Explanation:
Kinetic energy is the energy an object possesses due to motion. The formula 1/2 the product of mass and the squared velocity.
We know the baseball's kinetic energy is 105 Joules. It is also traveling at a velocity of 10 meters per second. `
First, convert the units of Joules to make unit cancellation easier later in the problem. 1 Joule (J) is equal to 1 kilogram square meter per square second (kg*m²/s²). The baseball's kinetic energy of 105 J is equal to 105 kg*m²/s².
Now we know 2 values:
Substitute these values into the formula.
Now we need to solve for m, the mass. Solve the exponent.
- (10 m/s)²= 10 m/s * 10 m/s = 100 m²/s²
Multiply on the right side.
The variable, m, is being multiplied by 50 square meters per square second. The opposite of multiplication is division, so we divide both sides by that value.
The units of square meter per square second will cancel out.
The mass of the baseball is <u>2.1 kilograms. </u>
Answer:
3.41334 m
Explanation:
t = Time taken
u = Initial velocity
v = Final velocity
s = Displacement
a = Acceleration
m = Mass
Force
Acceleration of the cart is 0.387 m/s²
The cart will move 3.41334 m in 4.2 seconds
Explanation:
The scanner records the time from when a ultrasound wave is emitted to when its reflection is received. A technician calculates the depth of the reflection using the equation as :
The distance covered by ultrasonic wave when it was emitted and gets reflected is 2d. Speed is given by :
d is distance and t is time
Here, d = 2d
So, the factor of (1/2) is used because the distance covered by the wave is 2 times when it was emitted and received.