Answer:
2.10 N
Explanation:
Draw a free body diagram of the toy. There are four forces:
Weight force mg pulling down,
Normal force N pushing up,
Friction force F pushing left,
Applied force 4.63 N pulling at an angle of 63.0°.
Sum of the forces in the x direction:
∑F = ma
4.63 N cos 63.0° − F = 0
F = 2.10 N
Answer:
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Explanation:
19019293837474474774747744747⁴464744666664646744378391011928³37
Answer:
4.58×10²³ atoms
5.94×10⁻²¹ J
1340 m/s
Explanation:
Use ideal gas law to find moles of gas.
PV = nRT
(1.266 atm × 101300 Pa/atm) (4/3 π (0.15 m)³) = n (8.31451 J/mol/K) (14 + 273) K
n = 0.760 mol
Use Avogadro's number to find number of atoms.
(0.760 mol) (6.02214×10²³ atom/mol) = 4.58×10²³ atoms
Average kinetic energy per molecule is:
KE = 3/2 kT
KE = 3/2 (1.38066×10⁻²³ J/K) (14 + 273) K
KE = 5.94×10⁻²¹ J
RMS speed of each atom is:
KE = 1/2 mv²
5.94×10⁻²¹ J/atom = 1/2 (0.004 kg/mol) (1 mol / 6.02214×10²³ atom) v²
v = 1340 m/s
Answer:
Joanna's position would be -100.
Explanation:
Joanna's position would be 100 feets west to her house. Her position is negative because Joanna walked west of her house. The position would have been positive if she had moved east of his house, that is, to the school.