Work done = 0.5*m*[(v2)^2 - (v1)^2]
where m is mass,
v2 and v1 are the velocities.
Given that m = 1.50 x 10^3 kg, v2 = -15 m/s (decelerates), v1 = 25 kg,
Work done = 0.5 * 1.50 x 10^3 * ((-15)^2 - 25^2) = 3 x 10^5 joules
Just ignore the negative value for the final result because work is a scalar quantity.
Answer: a) 11.76 m/s b) 7.056 m
Explanation:
The described situation is as follows:
An object is dropped from the top of a tower and when measuring the time it takes to reach the ground that turns out to be 0.02 minutes.
This situation is related to free fall, this also means we have constant acceleration, hence the equations we will use are:
(1)
(2)
Where:
Is the final velocity of the object
Is the initial velocity of the object (it was dropped)
is the acceleration due gravity
is the height of the tower
is the time it takes to the object to reach the ground
b) Begining with (1):
(3)
(4)
(5) This is the final velocity of the object
a) Substituting (5) in (2):
(6)
Clearing
:
(7)
(8) This is the height of the tower
Answer:
a) b = -5
b) slope = 3/2
Explanation:
a) The equation of a line is given as y = mx + b, where m is the slope of the line and b is the intercept on the y axis.
Given that y = 3x + b and it passes through the point (2, 1). Hence when x = 2, y = 1. Therefore, substituting for x and y:
1 = 3(2) + b
1 = 6 + b
b = 1 - 6
b = -5
b) The equation of a line passing through two points (
) and
is given by:
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The equation of the line passing through the two points (0,3) and (4,9) is:
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Comparing y = (3/2)x + 3 with y = mx + b, the slope (m) is 3/2
Answer:d-All of the above
Explanation:
A resistor is a device used in electrical circuits that offers resistance to current flow.In automotive circuit commonly used resistor are
- Fixed value
- Stepped
- Variable
Fixed value:A fixed value electrical resistance is one whose value is resistance value is fixed and does not change in circuit.
Stepped resistance:Stepped resistor also called as tapped resistors provide two or more set resistor values. In a circuit, the various resistances are attached to different terminals. When the switch is shifted, different resistance values are put in the circuit.
Variable resistance:The variable resistor gives more control over the current flow by increasing the resistance. When the resistance of the variable resistor increases, the amount of current allowed to flow in the circuit decreases.