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Oxana [17]
3 years ago
9

The block slides on a horizontal frictionless surface. The block has a mass of 1.0kg and is pushed 5.0N at 45°. What is the magn

itude of the acceleration of the block?
Physics
1 answer:
Firlakuza [10]3 years ago
8 0

Answer:

3.5\:\mathrm{m/s^2}

Explanation:

Newton's 2nd law is given as \Sigma F = ma.

To find the acceleration in the horizontal direction, you need the horizontal component of the force being applied.

Using trigonometry to find the horizontal component of the force:

\cos 45^{\circ}=\frac{x}{5},\\\frac{\sqrt{2}}{{2}}=\frac{x}{5},\\x=\frac{5\sqrt{2}}{2}

Use this horizontal component of the force to solve for for the acceleration of the object:

\frac{5\sqrt{2}}{2}=1.0\cdot a,\\a=\frac{5\sqrt{2}}{2}\approx \boxed{3.5\:\mathrm{m/s^2}}

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A car weighing 9800 N travels at 30 m/s. What braking force brings it to rest in 100m? In 10 m?
Svetach [21]

As per kinematics equation we know that

final speed of the car = 0 m/s

initial speed is given as 30 m/s

distance moved = 100 m

now we have

v_f^2 - v_i^2 = 2 a d

0 - 30^2 = 2(a)(100)

a = - 4.5 m/s^2

now braking force is given as

F = ma

now for mass we know that the weight of car is

W = mg = 9800 N

so mass of car is

m = 1000 kg

now we have

F = 1000(4.5) = 4500 N

Part b)

Again we have

final speed of the car = 0 m/s

initial speed is given as 30 m/s

distance moved = 10 m

now we have

v_f^2 - v_i^2 = 2 a d

0 - 30^2 = 2(a)(10)

a = - 45 m/s^2

now braking force is given as

F = ma

mass of car is

m = 1000 kg

now we have

F = 1000(45) = 45000 N

4 0
3 years ago
Converting 16.2 pounds to 1 newton
laiz [17]

16.2 pounds doesn't convert to 1 newton.
It converts to about  71.1 newtons

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7 0
3 years ago
A scientist in Northern California is studying the tree rings of a very old redwood tree. He notices that the oldest tree rings
Studentka2010 [4]

Answer: colder and drier

Explanation:

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5 0
3 years ago
Read 2 more answers
A friend of yours is loudly singing a single note at 412 Hz while racing toward you at 25.8 m/s on a day when the speed of sound
xeze [42]

Answer:

5541Hz

Explanation:

If the frequency of a wave is directly proportional to the velocity we have;

F = kV where;

F is the frequency

K is the constant of proportionality

V is the velocity

Since f = kV

K = f/v

K = F1/V1 = F2/V2

Given f1 = 412Hz v1 = 25.8m/s f2 = ? V2 = 347m/s

Substituting in the formula we have;

412/25.8=f2/347

Cross multiplying

25.8f2 = 412×347

F2 = 412×347/25.8

F2 = 5541Hz

The frequency heard will be 5541Hz

6 0
3 years ago
Why is the temperature of the liquid in the flask on the previous page measured when the liquid in the thermometer has stopped r
Flura [38]

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