in an after school program, students must choose to either play on the playground or read a book silently. On one cloudy day, 70
1 answer:
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Answer:
B Barney stops less than a foot from the car.
Step-by-step explanation:
From the information given:
The initial speed of barney = 25 mph
Coefficient of friction = 0.7
Recall that
1 mph = 0.447 m/s
Then
= 25 × 0.447 m/s
= 11.175 m/s
The force of friction acting on the barney is expressed as:
a = 0.7 × 9.8 m/s
a = 6.86 m/s²
Since the force acts in an opposite direction to the motion of Barney, Thus the acceleration must also be negative.
a = -6.86 m/s²
Now;
Suppose Barney stops after traveling a distance (s), so that the final speed is zero.
Then;
Using the kinematic equation;
s = 9.09 m
Recall that;
1 m = 3.28 ft
So;
s = 9.09 m = 9.09 × 3.28 ft
s = 29.81 ft
∴
The distance traveled by the Barney is 29.81 ft which implies that Barney stops less than a foot from the car.
9514 1404 393
Answer:
78.71 mph
Step-by-step explanation:
You're looking for the solution to ...
d = 88
0.0015r^2 +r = 88
0.0015r^2 +r -88 = 0
Using the quadratic formula*, we find ...
r = (-1 +√(1² -4(0.0015)(-88)))/(2×0.0015)
r = (-1 +√1.528)/0.003 = 0.236123/0.003 = 78.7077
The speed of the car was about 78.71 mph.
_____
* The quadratic formula will also give a negative answer of about -745 mph, which is not relevant to the situation.
Answer:
₹ 5000
Step-by-step explanation:
Income= ₹ 25000
House rent = 1/5 of 25000
=
= ₹ 5000
Other expenditure = 3/5 of 25000
=
= 3 * 5000
= ₹ 15000
Savings = 25000 - ( 5000 + 15000)
= 25000 - 20000
= ₹ 5000