How does the height of a ramp affect the distance that a toy car will travel?

You are designing a ski jump ramp for the next Winter Olympics. You need to calculate the vertical height (h) from the starting

Eddi Din [679]

Answer:

h = 50.49 m

Explanation:

Data provided:

Speed of skier, u = 2.0 m/s

Maximum safe speed of the skier, v = 30.0 m/s

Mass of the skier, m = 85.0

Total work = 4000 J

Height from the starting gate = h

Now, from the law of conservation of energy

Total energy at the gate = total energy at the time maximum speed is reached

$\frac{1}{2}mu^2+mgh=4000J+\frac{1}{2}mv^2$

where, g is the acceleration due to the gravity

on substituting the values, we get

$\frac{1}{2}\times85\times2.0^2+85\times9.81\times h=4000J+\frac{1}{2}\times85\times30^2$

or

170 + 833.85 × h = 4000 + 38250

or

h = 50.49 m

7 0

3 years ago

The amount of heat energy required to raise the temperature of a unit mass of a material one degree is

charle [14.2K]

The amount of heat energy required to raise the temperature of a unit mass of a material to one degree is called D. its heat capacity.

The relationship of the heat when applied to the object and the change in temperature of the object when heat is being applied is directly proportional to each other. This means that when heat is applied to the object, the temperature of the object increases and when heat is not applied to the object, the temperature of the object decreases.

5 0

2 years ago

What is the proper battery cable connection when jumping two automotive batteries? (a) negative to negative / positive to positi

Vladimir [108]

The proper battery cable connection when jumping two automotive batteries is : (a) negative to negative / positive to positive.

Connect the red (positive) cable from the car with the bad battery to the red (positive) on the good battery. 

Then connect the black (negative) from the good battery to a grounding point on the other car which should be tightened and metal should be clean.

Once the car with bad battery has started, the removal of the cable should be in the opposite order. The Red (positive) which was the the First Cable to go on should be the last cable to be taken off.

3 0

3 years ago

While Bob is demonstrating the gravitational force on falling objects to his class, he drops an 1.0 lb bag of feathers from the

BartSMP [9]

In the experiment of free fall bob released a bag of mass 1 lb

so here we can say that initial speed of the bag is Zero

time taken by the bag to free fall is given as

t = 1.5 s

also the acceleration of free fall is given as

a = 9.8 m/s^2

now we will use kinematics equation here for finding the distance of free fall

$d = v_i * t + \frac{1}{2} at^2$