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anygoal
6 days ago
5

A cross-country skier can complete a 7.5 km race in 45 min. What is the skier’s average speed?

Physics
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On a day when the water is flowing relatively gently, water in the Niagara River is moving horizontally at 4.5 m/sm/s before sho
Maru [3345]

Answer:

a.3.29 m/s

b.3.3 m/s

c.14.8 m

d.15 m

Explanation:

We have the following specifics:

Initial Horizontal speed=v_x=4.5 m/s

Vertical component of initial speed=v_y=0

Vertical distance=y=-53 m

a.s=ut+\frac{1}{2}gt^2

Applying the formula and considering g as negative results in g=-9.8m/s^2

-53=0-\frac{1}{2}(9.8)t^2

53=4.9t^2

t^2=\frac{53}{4.9} s

t=\sqrt{\frac{53}{4.9}}=3.29m/s

b.Since the hundredths place exceeds 5, 1 is added to the tenths place, while other digits to the left remain unchanged and the digit to the right is replaced by 0.

t=3.3 m/s

c.Horizontal acceleration=a_x=0

x=v_xt=4.5\times 3.29=14.8 m

d.The digit in the tenths place at 8 surpasses 5, thus adding 1 to the units place, with all other digits on the left side unchanged and the right-side digit altered to 0.

Horizontal distance=15 m

7 0
3 months ago
On a hot summer day, you decide to make some iced tea. First, you brew 1.50 LL of hot tea and leave it to steep until it has rea
Yuliya22 [3333]

Explanation:

Please refer to the attachment for the solution.

6 0
2 months ago
In an amusement park rocket ride, cars are suspended from 3.40-m cables attached to rotating arms at a distance of 5.90 m from t
ValentinkaMS [3465]

Answer:

The rotational angular speed is measured at 1.34 rad/s.

Explanation:

Considering the following parameters,

Length = 3.40 m

Distance = 5.90 m

Angle = 45.0°

We are tasked with finding the angular speed of rotation

Using the balance equation

Horizontal component

T\cos\theta=mg

T=\dfrac{mg}{\cos\theta}

Vertical component

T\sin\theta=m\omega^2 r

Substituting the tension value

mg\tan\theta=m\omega^2(d+L\sin\theta)

\omega=\sqrt{\dfrac{g\tan\theta}{(d+L\sin\theta)}}

Substituting the value into the equation

\omega=\sqrt{\dfrac{9.8\tan45.0}{5.90+3.40\sin45.0}}

\omega=1.34\ rad/s

Thus, the angular speed of rotation computes to 1.34 rad/s.

7 0
3 months ago
A mouse runs along a baseboard in your house. The mouse's position as a function of time is given by x(t)=pt2+qt, with p = 0.36
ValentinkaMS [3465]

Response:

0.60 m/s

Details:

The average speed between times t = a and t = b can be expressed as:

v_avg = (x(b) − x(a)) / (b − a)

Given the function x(t) = 0.36t² − 1.20t, and considering the interval from 1.0 to 4.0:

v_avg = (x(4.0) − x(1.0)) / (4.0 − 1.0)

v_avg = [(0.36(4.0)² − 1.20(4.0)) − (0.36(1.0)² − 1.20(1.0))] / 3.0

v_avg = [(5.76 − 4.8) − (0.36 − 1.20)] / 3.0

v_avg = [0.96 − (-0.84)] / 3.0

v_avg = 0.60

The average speed calculated is 0.60 m/s.

5 0
3 months ago
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