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2 years ago

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The acceleration of a block attached to a spring is given by a=−(0.324m/s2)cos([2.50rad/s]t) a = − ( 0.324 m / s 2 ) c o s ( [ 2

.50 r a d / s ] t ) . Part A What is the frequency of the block's motion?

1 answer:

allsm [11]2 years ago

5 0

Answer:

Looks like you have:

a = -.324 cos 2.5 t

In this case ω^2 A = .324

ω = 2.5

f = ω / (2 * pi) = 2.5 / 6.28 = .40 / sec

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A car slows down from 14 m/s to 6 m/s in 3 seconds. What is the car’s acceleration?

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Explanation:

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3 years ago

Estimate the average force that a baseball pitcher's hand exerts on a 0.145-kg baseball as he throws a 40-m/s pitch. Assume the

Kitty [74]

Answer:

38.67 N

Explanation:

v = Final velocity = 40 m/s

u = Initial velocity

m = Mass of ball = 0.145kg

s = Displacement of ball = 3 m

Equation of motion

$v^2-u^2=2as\\\Rightarrow a=\frac{v^2-u^2}{2s}\\\Rightarrow a=\frac{40^2-0^2}{2\times 3}=\frac{800}{3}\ m/s^2$

F=ma

$\\\Rightarrow F=0.145\times \frac{800}{3}\\\Rightarrow F=38.67\ N$

∴ Average force that a baseball pitcher's hand exerts on the ball is 38.67 N

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3 years ago

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According to the Big Bang Theory, matter clumped into stars because of _____?

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I believe it may be gravity.

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3 years ago

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A volume V= 2.48 L of an ideal nitrogen gas (N2) are at temperature T= 0.964°C and pressure p = 1.49 atm.

Orlov [11]

Complete question:

A volume V= 2.48 L of an ideal nitrogen gas (N2) are at temperature T= 0.964°C and pressure p = 1.49 atm. Find the number of moles of the gas.

Answer:

The number of mole of the gas is 0.164 mol.

Explanation:

Given;

volume of the ideal gas, V = 2.48 L

temperature of the gas, T = 0.964 °C = 273K + 0.964 = 273.964 K

pressure of the gas, P = 1.49 atm

The number of moles of the gas is calculated by using ideal gas equation;

PV = nRT

where;

n is the number of moles of the gas

R is ideal gas constant = 0.082057 L.atm/mol.K

$n = \frac{PV}{RT} \\\\n = \frac{1.49 \ atm \ \times \ 2.48 \ L}{0.082057 \ L.atm/mol.K \ \ \times \ 273.964 \ K} \\\\n = 0.164 \ mol$

Therefore, the number of mole of the gas is 0.164 mol.

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3 years ago

a vehicle starts from rsst and after 10 seconds its velocity is 20m/s find the acceleration and the distance travelled.(step by

Naily [24]

Answer:

<u>Acceleration is 2 m/s² </u>

<u>Distance</u><u> </u><u>is</u><u> </u><u>1</u><u>0</u><u>0</u><u> </u><u>m</u>

Explanation:

From definition of acceleration, Acceleration is the rate of change in velocity.

• Simplifying the definition, or modifying it;

${ \boxed{ \rm{acceleration = \frac{(final \: velocity - initial \: velocity)}{time} }}}$

• Let's formulate symbols:

${ \boxed{ \rm{a = \frac{v - u}{t} }}}$

a is acceleration
v is final velocity, v = 20 m/s
u is initial velocity, u = 0 m/s [ at rest ]
t is time, t = 10 seconds

${ \rm{a = \frac{20 - 0}{10} = \frac{20}{10} }} \\ \\{ \boxed{ \rm{ \: a = 2 \: {ms}^{ - 2} }}}$

Distance = ut + ½at²

Distance = (0 × 10) + (½ × 2 × 10²)

Distance = 0 + 10²

Distance = 100 meters

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2 years ago